Question

what is fg? fg =

Explanation:

Step1: Observe the triangle

Since EG is the perpendicular - bisector of FH and EF = EH = 39, triangle FHG is isosceles with respect to the line EG. So, FG = HG.

Step2: Set up an equation

Set 6v - 66 = 3v.

Step3: Solve the equation for v

Subtract 3v from both sides: 6v-3v - 66=3v - 3v, which gives 3v-66 = 0. Then add 66 to both sides: 3v=66. Divide both sides by 3: v = 22.

Step4: Find the length of FG

Substitute v = 22 into the expression for FG (FG = 6v - 66). FG=6×22 - 66=132 - 66 = 66.

Answer:

66